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Finding the Third Proportional to 56,075 and 85,863

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Solution

The third proportional to 56,075 and 85,863 is: 131,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,075 : 85,863 = 85,863 : x
  2. Step 2: Convert to fraction form
    56,075/85,863 = 85,863/x
  3. Step 3: Cross multiply
    56,075x = 85,863 × 85,863
  4. Step 4: Simplify right side
    56,075x = 7,372,454,769
  5. Step 5: Solve for x
    x = 7,372,454,769/56,075
  6. Step 6: Final answer
    x = 131,474.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.